Martin Vohralík

Overview

Best Publications

• Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations

  Alexandre Ern;Martin Vohralík

  210
  Citations

• A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations

  Martin Vohralík

  199
  Citations

• Adaptive Inexact Newton Methods with A Posteriori Stopping Criteria for Nonlinear Diffusion PDEs

  Alexandre Ern;Martin Vohralík

  198
  Citations

• Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems

  Alexandre Ern;Annette F. Stephansen;Martin Vohralík

  169
  Citations

• A combined finite volume–nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems

  Robert Eymard;Danielle Hilhorst;Martin Vohralík

  155
  Citations

• A Posteriori Error Estimates Including Algebraic Error and Stopping Criteria for Iterative Solvers

  Pavel Jiránek;Zdeněk Strakoš;Martin Vohralík

  149
  Citations

• An accurate H(div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems

  Alexandre Ern;Serge Nicaise;Martin Vohralík

  134
  Citations

• A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation

  Alexandre Ern;Martin Vohralík

  133
  Citations

• Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems

  Linda El Alaoui;Alexandre Ern;Martin Vohralík

  124
  Citations

• Numerical simulation of fracture flow with a mixed-hybrid FEM stochastic discrete fracture network model

  Jiří Maryška;Otto Severýn;Martin Vohralík;Martin Vohralík

  107
  Citations

• Guaranteed and Fully Robust a posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients

  Martin Vohralík

  105
  Citations

• On the Discrete Poincaré–Friedrichs Inequalities for Nonconforming Approximations of the Sobolev Space H 1

  Martin Vohralík

  98
  Citations

• Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods

  Martin Vohralík

  91
  Citations

• A unified framework for a posteriori error estimation for the Stokes problem

  Antti Hannukainen;Rolf Stenberg;Martin Vohralík

  90
  Citations

• MIXED FINITE ELEMENT METHODS: IMPLEMENTATION WITH ONE UNKNOWN PER ELEMENT, LOCAL FLUX EXPRESSIONS, POSITIVITY, POLYGONAL MESHES, AND RELATIONS TO OTHER METHODS

  Martin Vohralík;Barbara I. Wohlmuth

  75
  Citations

• Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods

  Martin Vohralík

  75
  Citations

• $hp$-adaptation driven by polynomial-degree-robust a posteriori error estimates for elliptic problems

  Vít Dolejší;Alexandre Ern;Martin Vohralík

  73
  Citations

• A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows

  Martin Vohralík;Martin Vohralík;Mary F. Wheeler

  71
  Citations

• Equivalence between lowest-order mixed finite element and multi-point finite volume methods on simplicial meshes

  Martin Vohralík;Martin Vohralík

  70
  Citations

• An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow

  Clément Cancès;Iuliu Sorin Pop;Martin Vohralík;Martin Vohralík

  68
  Citations

• Numerical Analysis An accurate H(div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems

  Alexandre Ern;Serge Nicaise;Martin Vohralík

  0
  Citations